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Finding the Fourth Proportional to 1,337.35, 1,996.91 and 1,197.62

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Solution

The fourth proportional to 1,337.35, 1,996.91 and 1,197.62 is: 1,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.35 : 1,996.91 = 1,197.62 : x
  2. Step 2: Convert to fraction form
    1,337.35/1,996.91 = 1,197.62/x
  3. Step 3: Cross multiply
    1,337.35x = 1,996.91 × 1,197.62
  4. Step 4: Simplify right side
    1,337.35x = 2,391,539.35
  5. Step 5: Solve for x
    x = 2,391,539.35/1,337.35
  6. Step 6: Final answer
    x = 1,788.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.